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Finding the Fourth Proportional to 330.96, 496.74 and 239.82

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Solution

The fourth proportional to 330.96, 496.74 and 239.82 is: 359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 496.74 = 239.82 : x
  2. Step 2: Convert to fraction form
    330.96/496.74 = 239.82/x
  3. Step 3: Cross multiply
    330.96x = 496.74 × 239.82
  4. Step 4: Simplify right side
    330.96x = 119,128.19
  5. Step 5: Solve for x
    x = 119,128.19/330.96
  6. Step 6: Final answer
    x = 359.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.